.Choose an equation of line parallel to X-axis from the following options___
Answers
Answer:
Hence, the equation of a straight line parallel to x-axis at a distance b from it is y = b. The equation of x-axis is y = 0, since, x-axis is a parallel to itself at a distance 0 from it.
Step-by-step explanation:
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ANSWER
Let the equation of the line be y=mx+c .....(1)
Since it is parallel to the X-axis then m=0.
∴ (1) becomes y=c .....(2) i.e the equation will have no x-term.
Let's check for the equations given
x+y=3 contains term of x. So, it can't be parallel to X-axis.
2x+3=7 contains x-term.
Thus, it is not parallel to X-axis.
2−y−3=y+1 ⟹y=1 which is in the form of (2) which does not contain x-term.
x+3 contains x-term. So, it is also not parallel to X-axis.
Thus, only the equation given by option C is parallel to X-axis.
Hence, option C is correct.
Step-by-step explanation:
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